First things first, don't admit that you are to blame for the collision. Insurance companies take a dim view of people who admit liability, and even if you feel that it is your fault you shouldn't offer to take the blame at the scene. Remember that it's up to investigators to figure out what happened and who to point the finger at. You can provide the insurance company with a full statement later on and let them take the appropriate course of action.
Why Shouldn't I Admit Fault if I Think I am to Blame?
If the other driver is pushing you to admit fault remember that if you admit liability when you aren't to blame then you run the risk of losing any compensation you might have got from injuries sustained in the accident, and depending on the level of car insurance you have, you may end up without a car or a settlement payment.